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Simora [160]
3 years ago
12

Identify the zeros of the function f(x) = 2x^2 − 4x + 5 using the Quadratic Formula

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

For this case we have that by definition, the roots, or also called zeros, of the quadratic function are those values of x for which the expression is 0.

Then, we must find the roots of:

2x ^ 2-4x + 5 = 0

Where:

a = 2\\b = -4\\c = 5

We have to:x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}

Substituting we have:

x = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (2) (5)}} {2 (2)}\\x = \frac {4 \pm \sqrt {16-40}} {4}\\x = \frac {4 \pm \sqrt {-24}} {4}

By definition we have to:

i ^ 2 = -1

So:

x = \frac {4 \pm \sqrt {24i ^ 2}} {4}\\x = \frac {4 \pm i \sqrt {24}} {4}\\x = \frac {4 \pm i \sqrt {2 ^ 2 * 6}} {4}\\x = \frac {4 \pm 2i \sqrt {6}} {4}\\x = \frac {2 \pm i \sqrt {6}} {2}

Thus, we have two roots:

x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}

Answer:

x_ {1} = \frac {2 + i \sqrt {6}} {2}\\x_ {2} = \frac {2-i \sqrt {6}} {2}

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Answer:

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Step-by-step explanation:

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Next, Janie has $3 to begin with. Although she already has some money to start with, that is still not enough to purchase her CD. To earn money, she will do chores ($1.20 per chore). We do not know the amount of chores she will do, so we can mark that as variable x.

If we put that all together, we will get 13.50 ≤ 1.20x + 3. If you solver this equation, you can solve how many chores she will have to do, but that is not part of the question!!

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I hope this helped you! Have a great rest of your day.

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3 years ago
Which formula can you use to find the radius (r)r if you know that C=2πr?
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3 years ago
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Gwar [14]

Answer:

If there is no 48 divided by 8 then it is 8 x _ = 48.

Step-by-step explanation:

Think about it. There are 6 times more children than adults *6 x 8 = 48.

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3 years ago
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